Solomon Feferman by Wikipedia Bot 0
Solomon Feferman (born 1928) is an American mathematician and philosopher known for his work in logic, philosophy of mathematics, and computability theory. He has made significant contributions to the foundations of mathematics, particularly in areas related to formal systems and the implications of Gödel's incompleteness theorems. Feferman has also worked on the concept of predicativity and the foundations of arithmetic and set theory.
Filter quantifier by Wikipedia Bot 0
A "filter quantifier" is a concept that can be found in various fields, but it is most commonly associated with logic, mathematics, and computer science, particularly in the context of quantified expressions in formal systems or programming languages. In logical and mathematical contexts, filter quantifiers can be understood as operators that restrict the domain of discourse to a certain subset defined by specific properties or conditions.
Yehoshua Bar-Hillel (1915-1975) was a prominent Israeli philosopher, linguist, and computer scientist known for his contributions to the fields of artificial intelligence, linguistics, and philosophy of language. He was a key figure in the development of natural language processing and was involved in early work that laid the groundwork for AI research in these areas.
Clause (logic) by Wikipedia Bot 0
In logic, a clause is a fundamental component used primarily in propositional logic and in predicate logic. It typically refers to a disjunction of literals that can be used in logical reasoning and inference processes. Here are some key points about clauses: 1. **Structure**: A clause is a disjunction of one or more literals. A literal is either a variable (e.g., \( P \)) or the negation of a variable (e.g., \( \neg P \)).
GeoSpy by Wikipedia Bot 0
As of my last knowledge update in October 2021, "GeoSpy" could refer to different concepts or tools related to geographic information systems (GIS), geolocation technologies, or data analytics, but there hasn't been a widely recognized platform or tool specifically known as "GeoSpy." It's possible that "GeoSpy" refers to a specific software application, a project, or a service that has emerged since then.
Tarski's World by Wikipedia Bot 0
Tarski's World is an educational software tool designed to help students learn the principles of formal logic, particularly the semantics of predicate logic. It was developed by philosopher and logician Alfred Tarski and his pedagogical approach is used in various logic and philosophy courses. In Tarski's World, users interact with a virtual environment that allows them to create and manipulate three-dimensional shapes and objects.
The Quantificational Variability Effect (QVE) is a phenomenon observed in the field of psycholinguistics and cognitive psychology, particularly in studies of how people understand and process quantifiers in language. It refers to the tendency for people to interpret sentences with quantifiers—like "some," "all," "most," and "no"—in a way that is sensitive to the variability of the quantity referred to by those quantifiers.
Meronomy by Wikipedia Bot 0
Meronomy is a term used in various fields, including philosophy, linguistics, and information science, to refer to the study of parts and the relationships between parts and wholes. The term derives from the Greek words "meros," meaning "part," and "nomos," meaning "law" or "norm." In philosophy, particularly in ontology, meronomy examines how entities are composed of parts and explores the hierarchical relationships among those parts.
Supervenience by Wikipedia Bot 0
Supervenience is a philosophical concept that describes a relationship between different sets of properties or facts, often used in discussions about the relationship between the mental and the physical, or between moral properties and non-moral properties. The idea is that if one set of properties (the supervenient properties) changes, there must be a change in the other set of properties (the subvenient properties) as well.
Consistency by Wikipedia Bot 0
Consistency can refer to several different concepts depending on the context in which it is used. Here are a few of the most common interpretations: 1. **General Definition**: Consistency refers to the quality of being uniform or coherent over time. It implies stability and reliability in behavior, performance, or characteristics. 2. **In Psychology**: Consistency can relate to a person's behavior and attitudes across different situations.
Gentzen's consistency proof is a significant achievement in mathematical logic, particularly in the study of formal systems and their foundational properties. Proposed by Gerhard Gentzen in the 1930s, this proof addresses the consistency of Peano Arithmetic (PA), which is a foundational system for number theory.
Hilbert system by Wikipedia Bot 0
A Hilbert system is a type of formal proof system used in mathematical logic and proof theory. Named after the mathematician David Hilbert, it is characterized by a set of axioms and inference rules that allow for the derivation of logical statements. Hilbert systems are typically structured to provide a framework for proving theorems in propositional logic and first-order logic.
Primitive recursive functions are a class of functions that are defined using a specific set of basic functions and operations. They are part of a broader field in mathematical logic and the theory of computation, concerning the definition and properties of functions.
Pure type system by Wikipedia Bot 0
A Pure Type System (PTS) is a type-theoretical framework used in computer science and mathematical logic for defining and analyzing programming languages. It generalizes certain typing systems, allowing for the expression of a wide variety of type theories and their associated computational behaviors. Here are some key aspects of Pure Type Systems: 1. **Basic Structure**: A PTS consists of a set of types and terms, along with rules for how types can be constructed from each other and how terms can be typed.
System U by Wikipedia Bot 0
System U, also known as the U programming language, is a language designed for systems programming and has its roots in the UNIX operating system. Specifically, it is associated with understanding and manipulating system-level constructs, making it suitable for developing low-level software such as operating systems, drivers, and other system utilities.
The Age of Enlightenment, also known as the Enlightenment Era or the Age of Reason, was an intellectual and cultural movement that began in the late 17th century and continued through the 18th century in Europe and America. This period emphasized reason, individualism, and skepticism of traditional authorities, particularly in the realms of politics, religion, and science.
Almud by Wikipedia Bot 0
"Almud" can refer to a few different concepts depending on the context: 1. **Historical Reference**: Almud is a term sometimes associated with historical geographic or architectural references, particularly in relation to certain regions or structures in the Iberian Peninsula, though it is not widely recognized in English. 2. **Cultural Reference**: In some cultures, particularly in Spanish-speaking countries, it may relate to terms or names associated with local heritage, though specifics can vary.
Benjamin Franklin by Wikipedia Bot 0
Benjamin Franklin (1706–1790) was an American statesman, inventor, scientist, printer, and writer who is one of the Founding Fathers of the United States. He played a crucial role in the American Enlightenment and the development of the nation. Franklin is best known for his contributions to the fields of electricity, politics, and diplomacy. His famous experiments with electricity led to the invention of the lightning rod, and he made significant contributions to the understanding of electrical phenomena.

Pinned article: ourbigbook/introduction-to-the-ourbigbook-project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 5. . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact